{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QREKUU4T53IV64ZEGXU4DHIYKB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9ffc5057050e5672911e76ae3eafa9d00a71940c9a9c5db90b5991c2ebe4c88a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-19T19:39:07Z","title_canon_sha256":"d432f19414bc402e6b6ec6963e5e3e288949d54ed928ebea3064abbb3b216f91"},"schema_version":"1.0","source":{"id":"1406.5166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5166","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5166v1","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5166","created_at":"2026-05-18T02:49:20Z"},{"alias_kind":"pith_short_12","alias_value":"QREKUU4T53IV","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"QREKUU4T53IV64ZE","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"QREKUU4T","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:4175c4caaad495f9f2e06687fe58f7cd8c78e8c24d4f2ddd3dd00e0acb4e4095","target":"graph","created_at":"2026-05-18T02:49:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider a class of smooth oriented Lorentzian manifolds in dimensions three and four which admit a nowhere vanishing conformal Killing vector and a closed two-form that is invariant under the Lie algebra of conformal Killing vectors. The invariant two-form is constrained in a particular way by the conformal geometry of the manifold. In three dimensions, the conformal Killing vector must be everywhere causal (or null if the invariant two-form vanishes identically). In four dimensions, the conformal Killing vector must be everywhere null and the invariant two-form vanishes identically if the","authors_text":"Paul de Medeiros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-19T19:39:07Z","title":"Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5166","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b480d912bd5f6b500a6f7e09f7fab54005b552d20a15fb3b2a2b6dc4551dfd98","target":"record","created_at":"2026-05-18T02:49:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9ffc5057050e5672911e76ae3eafa9d00a71940c9a9c5db90b5991c2ebe4c88a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-19T19:39:07Z","title_canon_sha256":"d432f19414bc402e6b6ec6963e5e3e288949d54ed928ebea3064abbb3b216f91"},"schema_version":"1.0","source":{"id":"1406.5166","kind":"arxiv","version":1}},"canonical_sha256":"8448aa5393eed15f732435e9c19d18506878b54878917d4b8bf2aa226bc3fd7e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8448aa5393eed15f732435e9c19d18506878b54878917d4b8bf2aa226bc3fd7e","first_computed_at":"2026-05-18T02:49:20.784820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:20.784820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w9XHD8CBn7BVchmIRKTNmqlsRsIs/1ouEkHdg5wNlTGSLDspblqZFSPzWe6wNkixsIKAE8wv0ZKKz59tvMwABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:20.785525Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b480d912bd5f6b500a6f7e09f7fab54005b552d20a15fb3b2a2b6dc4551dfd98","sha256:4175c4caaad495f9f2e06687fe58f7cd8c78e8c24d4f2ddd3dd00e0acb4e4095"],"state_sha256":"30634fb673c8610783616047a669346665b6ef47f09a0e0a9121be839f23e237"}